Analyzing Nullclines of a Triangle Dynamical System

Jan 04, 2026

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This study investigates the nullclines of a dynamical system represented in a triangular configuration. The system is defined in terms of variables x and y, with respective derivatives given by complex functions. Through a grid of points, the behavior and intersection points of the nullclines are explored. The analysis is conducted within specified boundaries, offering insights into the stability and dynamics of the system. This work aims to contribute to the understanding of planar dynamical systems through numerical and graphical representation of nullclines.

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Analyzing Nullclines of a Triangle Dynamical System

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%% PPLANE file %% H.name = 'triangle'; H.xvar = 'x'; H.yvar = 'y'; H.xder = ' (x + 1)*(x + 2*y)*(1- (x + y -1)/5)'; H.yder = ' -(y + 1)*(2*x + y)'; H.pname = {'','','','','',''}; H.pval = {'','','','','',''}; H.fieldtype = 'nullclines'; H.npts = 20; H.wind = [-1.5 2.5 -1.5 2.5];